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47275164 = 2235172861
BaseRepresentation
bin1011010001010…
…1110010011100
310021221211100000
42310111302130
544100301124
64405134300
71112555316
oct264256234
9107854300
1047275164
112475a592
12139ba390
139a43091
1463c87b6
15423c6c9
hex2d15c9c

47275164 has 72 divisors (see below), whose sum is σ = 131262768. Its totient is φ = 14826240.

The previous prime is 47275141. The next prime is 47275169. The reversal of 47275164 is 46157274.

47275164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×472751642 = 4469882262453792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47275169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15094 + ... + 17954.

It is an arithmetic number, because the mean of its divisors is an integer number (1823094).

Almost surely, 247275164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47275164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65631384).

47275164 is an abundant number, since it is smaller than the sum of its proper divisors (83987604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47275164 is a wasteful number, since it uses less digits than its factorization.

47275164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2883 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 47275164 is about 6875.6937104557. The cubic root of 47275164 is about 361.5855068819.

The spelling of 47275164 in words is "forty-seven million, two hundred seventy-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 918 972 1377 1836 2754 2861 4131 5508 5722 8262 8583 11444 16524 17166 25749 34332 48637 51498 77247 97274 102996 145911 154494 194548 231741 291822 308988 437733 463482 583644 695223 875466 926964 1313199 1390446 1750932 2626398 2780892 3939597 5252796 7879194 11818791 15758388 23637582 47275164